Question

Two angles are making a linear pair. If one of them is one-third of the other, then find the angles.

Answer 1

Let one angle be x. It is given that other angle is one-third of first.

So, other angle will be x/3.

Again, given that both the angles are making a linear pair.

So, their sum will be 180°

x + x/3 = 180°

(3x + x)/3 = 180°

4x/3 = 180°

x = (180° x 3)/4

x = 135°

Hence, the angles are 135° and 1/3 x 135°, i.e. 135° and 45°.